The Divine Proportion: The Theorem Of Pythagoras

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THE DIVINE PROPORTION
"Geometry has two great treasures; one is the Theorem of Pythagoras; the other, the division of a line into extreme and mean ratio. The first we may compare to a measure of gold, the second we may name a precious jewel."
--Johannes Kepler Johannes Kepler was one of the most distinguished astronomers and mathematicians. So what was so compelling about a simple relation between two numbers that he effortlessly went ahead to compare one of the most critical theorems of mathematics and this ratio. Throughout his life, Kepler was so fascinated with the Divine Proportion that he wrote several transitions of text on this subject and even fabricated the Kepler's triangle on this basis.
So what is the Divine Proportion ?
In simple terms, two quantities are said to be in the golden ratio/divine proportion if their ratio is the same as the ratio of their sum to the larger of the two quantities. For any two …show more content…

The spiral is visible in hurricanes, seeds, human ears (cochlea), ram's horn, fern leaves, tail of a sea horse, tornadoes, galaxies, whirlpools and so many flowers (sunflowers, daisies, dandelions etc.). This spiral forms a precise mathematical pattern involving the golden ratio. As it gets larger, it retains it's similar form. This form is also known as the "Golden Spiral". Leaves are also generally arranged in this spiral, this can be viewed by looking at the stem directly from above and noting the arc of the stem form one leaf base to the next and the fraction of stem circumference which is inscribed. This pattern ensures that each leaf receives maximum sunlight without crowding out the others. Another reason that It was important to measure the spirals is that it was one of the first instances of the Golden Ratio being found in nature (by Jakob Bernoulli in the 17th

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